SOLUTION: A cake is removed from an oven at 325 degrees F and cools to 150 degrees F after 25 minutes in a room 68 degrees F. How long will it take the cake to cool to 109 degrees F? 150=

Question 1036687: A cake is removed from an oven at 325 degrees F and cools to 150 degrees F after 25 minutes in a room 68 degrees F. How long will it take the cake to cool to 109 degrees F?
150=68+257e^-25k
82=257e^-25k
.001242=e^-25k
-25k=ln(.001242)
k=.267
I know it's wrong, but I don't know where I went wrong
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What you did is the right start. I think they want
you to find ( which you did ), then
resolve the equation and find the new multiplier
with for cooling to 109 degrees F
--------------------------------------
I'll check what you did first:

------------------
Let the multiplier of =
Now solve this equation:

and

-----------------------
It takes about 40 min and 18 sec for
the cake to cool to 109 degrees F
------------------------------
Check my math, and you may want a
2nd opinion, too
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